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中文摘要：
利用翼板剪切变形规律定义了剪滞翘曲函数，用变分原理推导了箱梁考虑剪力滞效应后的微分方程、边界以及初始条件，由于该微分方程的特殊性，确定了差分法为该方程的有效解法，并最终给出了该方程的数值解。最后通过简支梁算例的计算结果验证了方法体系的可行性。此外，在振动时薄壁箱梁的剪力滞效应会对位移和应力产生较大影响，从而使跨中截面的位移响应和腹板与悬臂板连接处的应力响应幅值有所增大。
英文摘要：
Based on the wing plate shear deformation law, the shear lag warping function is defined. By using variation principie, the vibration controlling differential equation, boundary and initial conditions of thin-wall box girder is deduced including shear lag and after equation solution is discussed,difference schemes of the equation is set up , then stability and convergence property of difference scheme is demon-strated. Lastly mathematic example of simply supported beam is provided , which confirm the feasibility of means system. In addition, the calculating results show that the effect on vibration of thin-wall box girder is obvious , which makes the amplitude of displacement response of mid-span section and sress response of the connection between web plate and Cantilever plate.
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